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Finding the Fourth Proportional to 5,188.48, 7,776.20 and 4,088.52

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Solution

The fourth proportional to 5,188.48, 7,776.20 and 4,088.52 is: 6,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.48 : 7,776.20 = 4,088.52 : x
  2. Step 2: Convert to fraction form
    5,188.48/7,776.20 = 4,088.52/x
  3. Step 3: Cross multiply
    5,188.48x = 7,776.20 × 4,088.52
  4. Step 4: Simplify right side
    5,188.48x = 31,793,149.22
  5. Step 5: Solve for x
    x = 31,793,149.22/5,188.48
  6. Step 6: Final answer
    x = 6,127.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.